Back to Explain equation solving steps — Problem 4 · Task Set 32

Exercises: Explain Each Step in Solving an Equation

Work through each section in order. Show your work and justify your reasoning where indicated.

Grade 9·21 problems·~35 min·Common Core Math - HS Algebra·standard·hsa-rei-a-1
Work through problems with immediate feedback
A

Fluency Practice

A two-column proof table with three rows. Row 2 has a blank gray placeholder in the Reason column.
1.

In a two-column justification, a student writes these three lines. What property belongs in the blank?

Line 1: 5(2x+1)3=3x+275(2x + 1) - 3 = 3x + 27 — Reason: Given
Line 2: 10x+53=3x+2710x + 5 - 3 = 3x + 27 — Reason: ???
Line 3: 10x+2=3x+2710x + 2 = 3x + 27 — Reason: Simplify